A363040 a(n) is the smallest number which can be represented as the sum of n distinct perfect powers (A001597) in exactly n ways, or -1 if no such number exists.

1, 17, 37, 53, 86, 119, 177, 215, 275, 331, 424, 516, 632, 764, 928, 1057, 1247, 1427, 1635, 1879, 2119, 2409, 2715, 3008, 3395, 3760, 4189, 4667, 5171, 5617, 6178, 6786, 7438, 8071, 8836, 9572, 10456, 11333, 12396, 13266, 14214, 15379, 16518, 17703, 19018, 20275

Offset: 1

Author

Ilya Gutkovskiy, May 14 2023

Keywords

• nonn

Examples

			For n = 2: 17 = 1 + 16 = 8 + 9.
		

Links

• Eric Weisstein's World of Mathematics, Perfect Power

Crossrefs

Cf. A001597, A362424, A362425, A362428.

Extensions

a(13) and beyond from Michael S. Branicky, May 24 2023